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On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem
Authors:Y D Xu  S J Li
Institution:1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China
2. Mathematical Sciences Research Institute in Chongqing, Chongqing, 401331, China
Abstract:In this paper, under new assumptions, which do not contain any information about the solution set, the lower semicontinuity of solution mappings to a parametric generalized strong vector equilibrium problem are established by using a scalarization method. These results extend and generalize the corresponding ones in Gong and Yao (J Optim Theory Appl 138:197–205, 2008), Chen and Li (Pac J Optim 6:141–151, 2010) and Li et al. (2012, submitted). Some examples are given to illustrate our results.
Keywords:
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